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Finding the Third Proportional to 3,210.02 and 5,127.21

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Solution

The third proportional to 3,210.02 and 5,127.21 is: 8,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.02 : 5,127.21 = 5,127.21 : x
  2. Step 2: Convert to fraction form
    3,210.02/5,127.21 = 5,127.21/x
  3. Step 3: Cross multiply
    3,210.02x = 5,127.21 × 5,127.21
  4. Step 4: Simplify right side
    3,210.02x = 26,288,231.91
  5. Step 5: Solve for x
    x = 26,288,231.91/3,210.02
  6. Step 6: Final answer
    x = 8,189.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.